Variational principle, conjugate convex functions and “the equivalence of ensembles”
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications, Tome 87 (1985) no. 4, pp. 57-68.
@article{ASCFPA_1985__87_4_57_0,
     author = {Pirlot, Marc},
     title = {Variational principle, conjugate convex functions and {\textquotedblleft}the equivalence of ensembles{\textquotedblright}},
     journal = {Annales scientifiques de l'Universit\'e de Clermont-Ferrand 2. S\'erie Probabilit\'es et applications},
     pages = {57--68},
     publisher = {UER de Sciences exactes et naturelles de l'Universit\'e de Clermont},
     volume = {87},
     number = {4},
     year = {1985},
     zbl = {0582.49033},
     language = {en},
     url = {http://archive.numdam.org/item/ASCFPA_1985__87_4_57_0/}
}
TY  - JOUR
AU  - Pirlot, Marc
TI  - Variational principle, conjugate convex functions and “the equivalence of ensembles”
JO  - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY  - 1985
SP  - 57
EP  - 68
VL  - 87
IS  - 4
PB  - UER de Sciences exactes et naturelles de l'Université de Clermont
UR  - http://archive.numdam.org/item/ASCFPA_1985__87_4_57_0/
LA  - en
ID  - ASCFPA_1985__87_4_57_0
ER  - 
%0 Journal Article
%A Pirlot, Marc
%T Variational principle, conjugate convex functions and “the equivalence of ensembles”
%J Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
%D 1985
%P 57-68
%V 87
%N 4
%I UER de Sciences exactes et naturelles de l'Université de Clermont
%U http://archive.numdam.org/item/ASCFPA_1985__87_4_57_0/
%G en
%F ASCFPA_1985__87_4_57_0
Pirlot, Marc. Variational principle, conjugate convex functions and “the equivalence of ensembles”. Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications, Tome 87 (1985) no. 4, pp. 57-68. http://archive.numdam.org/item/ASCFPA_1985__87_4_57_0/

1 Boccara, N., Les principes de la thermodynamique classique, Paris, P.U.F., Coll. Sup. 1968.

2 Boccara, N., Symétries brisées, Paris, Hermann, 1976.

3 Ekeland, I., Teman, R., Analyse convexe et problèmes variationnels, Paris, Dunod-Gauthier-Villars, 1974. | MR | Zbl

4 Griffiths, R.B., Ruelle, D., Strict convexity ("continuity" of the pressure in lattice systems. Com. math. phys. 23, 169-175 (1971). | MR

5 Israel, R.B., Convexity in the theory of lattice gases, Princeton Series in Physics, Princeton Univ. Press, 1979. | MR | Zbl

6 Lanford Iii, O.E., Entropy and equilibrium states in clas sical statistical mechanics, in Statistical mechanics and mathematical problems, Ed. A. Lenard, Lect. notes in phys. 20, Springer 1972.

7 Martin-Lof, A., The equivalence of ensembles and Gibbs phase rule for classical lattice systems, J. Stat. Phys. 20, 557-571 (1979). | MR

8 Rockafellar, R.T., Convex analysis, Princeton Univ. Press 1970. | MR | Zbl

9 Roos, H., Consequences of convexity: a variational principle for the pressure and related results, Reports math. phys. 14, 147-160 (1978). | MR

10 Ruelle, D., Thermodynamic formalism, Addison-Wesley, 1978 | MR | Zbl

11 Yosida, K., Functional analysis, Springer 1966 (2nd printing).